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106240260 = 22357443571
BaseRepresentation
bin1100101010100…
…01100100000100
321101220120020110
412111101210010
5204144142020
614313033020
72430012240
oct625214404
9241816213
10106240260
1154a73975
122b6b5770
1319019c79
1410177420
1594d88e0
hex6551904

106240260 has 96 divisors (see below), whose sum is σ = 341332992. Its totient is φ = 24186240.

The previous prime is 106240241. The next prime is 106240291. The reversal of 106240260 is 62042601.

It is a happy number.

It is a super-2 number, since 2×1062402602 = 22573985689735200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185775 + ... + 186345.

It is an arithmetic number, because the mean of its divisors is an integer number (3555552).

Almost surely, 2106240260 is an apocalyptic number.

106240260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106240260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170666496).

106240260 is an abundant number, since it is smaller than the sum of its proper divisors (235092732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106240260 is a wasteful number, since it uses less digits than its factorization.

106240260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106240260 is about 10307.2915938184. The cubic root of 106240260 is about 473.6196453779.

Adding to 106240260 its reverse (62042601), we get a palindrome (168282861).

The spelling of 106240260 in words is "one hundred six million, two hundred forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 443 571 886 1142 1329 1713 1772 2215 2284 2658 2855 3101 3426 3997 4430 5316 5710 6202 6645 6852 7994 8565 8860 9303 11420 11991 12404 13290 15505 15988 17130 18606 19985 23982 26580 31010 34260 37212 39970 46515 47964 59955 62020 79940 93030 119910 186060 239820 252953 505906 758859 1011812 1264765 1517718 1770671 2529530 3035436 3541342 3794295 5059060 5312013 7082684 7588590 8853355 10624026 15177180 17706710 21248052 26560065 35413420 53120130 106240260